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STD 11 - 10.2 , transmission of heat — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEESTD 11 - 10.2 , transmission of heat4 Marks
MCQ
A black body has maximum wavelength ${\lambda _m}$ at temperature $2000\; K$. Its corresponding wavelength at temperature $3000 \;K$ will be
  • A
    $\frac{3}{2}{\lambda _m}$
  • ✓
    $\frac{2}{3}{\lambda _m}$
  • C
    $\frac{4}{9}{\lambda _m}$
  • D
    $\frac{9}{4}{\lambda _m}$
✓

Answer

Correct option: B.
$\frac{2}{3}{\lambda _m}$
b
(b)${\lambda _{{m_2}}} = \frac{{{T_1}}}{{{T_2}}} \times {\lambda _{{m_1}}}$$ = \frac{{2000}}{{3000}} \times {\lambda _{{m_1}}} = \frac{2}{3}{\lambda _{{m_1}}} = \frac{2}{3}{\lambda _m}$

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